P - m * p - n = p(1 - m) - n
Answer: 0.0497870 ; 0.87754
Step-by-step explanation:
Given that :
λ = 0.0003
Defining a continuous distribution function :
F(x) = 1 - e^-λx = 1 - e^-0.0003x ; x ≥ 0
a. What proportion of the fans will last at least 10,000 hours?
P(x ≥ 10000) = e^-0.0003(10000) = 0.0497870
b. What proportion of the fans will last at most 7000 hours?
P(x ≥ 7000) = 1 - p(x ≤ 7000) = 1 - e^-0.0003(7000)
1 - 0.12245642825 = 0.87754
Answer:
The distance, in feet, between the strip = 12 feet.
Step-by-step explanation:
From the figure attached in relation with the question, we can deduce that crosswalk is a parallelogram where
CD/AB = CE/AE
CD = 40
CE = 50
AE = 15
Let AB = x
50x = 15 × 40
X = 12
The distance, in feet, between the strip is therefore 12 feet
Answer: x=42
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
- Solve for x.
- Add 10 and 4.
- Multiply the sum of 10 and 4 by 3. You must move it from the left member to the right member. Then, if 3 is dividing x, this will multiply the sum of 10 and 4. So, you have:

Therefore, you obtain that the value of x is 42
Answer:
pi
Step-by-step explanation:
The radius of the circle is 10 units
The circumference of a circle is given by the formula:
C = 2 * pi * r
The diameter of a circle is twice the radius
d= 2r
We want the ratio of the circumference to the diameter
C/d = (2*pi*r)/ 2r
Canceling out the 2 and the r, we are left with pi
C/d = pi